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Rings

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Algebraic and Differential Methods for Nonlinear Control Theory

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Abstract

This chapter contains introductory concepts to ring theory, beginning with basic definitions, followed by the definitions of ideals, homomorphisms and rings, then isomorphism theorems in rings are given, next properties about integer rings are introduced and finally polynomial rings are explained.

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Authors and Affiliations

  1. Departamento de Control Automático, CINVESTAV-IPN, Mexico City, Distrito Federal, Mexico

    Rafael Martínez-Guerra, Oscar Martínez-Fuentes & Juan Javier Montesinos-García

Authors
  1. Rafael Martínez-Guerra
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  2. Oscar Martínez-Fuentes
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  3. Juan Javier Montesinos-García
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Corresponding author

Correspondence to Rafael Martínez-Guerra .

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Martínez-Guerra, R., Martínez-Fuentes, O., Montesinos-García, J.J. (2019). Rings. In: Algebraic and Differential Methods for Nonlinear Control Theory. Mathematical and Analytical Techniques with Applications to Engineering. Springer, Cham. https://doi.org/10.1007/978-3-030-12025-2_3

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  • DOI: https://doi.org/10.1007/978-3-030-12025-2_3

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-12024-5

  • Online ISBN: 978-3-030-12025-2

  • eBook Packages: EngineeringEngineering (R0)

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